The Universal Derivative: Wick Rotation as the Generator of Reality

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Authors: Nick Navid Yazdani
Cited by: 0

Abstract

This work reveals that all fundamental laws of physics arise from a single geometric engine: the Universal Derivative D=\frac{d}{d\theta}, a rotation in an internal clock coordinate whose quarter-turns generate the four universality classes of PDEs—elliptic, hyperbolic, parabolic, and unitary. Minimal surfaces, wave equations, diffusion, quantum mechanics, and gravitational curvature all emerge as sector projections of this one rotating operator. Extending the clock to a three-phase structure yields the Triple Helix, whose interference encodes conserved quantities, quantization, gauge structure, and even the arithmetic skeleton of the primes. Time, energy, momentum, and entropy are shown to be derived quantities, each a shadow of the underlying rotational flow in θ\thetaθ. Reality is not governed by many equations but by a single holofractal rotation—the universal engine from which all physical laws are cast.

Fields of Study & Subjects

Relativity and Gravitational Theory Advanced Mathematical Theories and Applications Advanced Differential Geometry Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
16 January 2026
Language
EN
Document type
Preprint